%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO307^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:49:42 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO307^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n016.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 16:49:35 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.26 % (600289)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (600297)% WARNING: option uhcvi not known.
% 0.09/0.26 % (600297)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1367592820:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.09/0.26 % (600297)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.09/0.26 % (600297)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.09/0.26 % (600297) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-600289-600297"...
% 0.09/0.26 % (600297)...printing done.
% 0.09/0.26 % (600297)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% 0.09/0.26 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.09/0.26 thf(func_def_0, type, cT: ($i > $o)).
% 0.09/0.26 thf(func_def_1, type, q: ($i > $o)).
% 0.09/0.26 thf(func_def_2, type, cR: ($i > $o)).
% 0.09/0.26 thf(func_def_3, type, p: ($i > $o)).
% 0.09/0.26 thf(func_def_7, type, sK0: (($i > $o) > $i)).
% 0.09/0.26 thf(func_def_8, type, sK1: (($i > $o) > $i)).
% 0.09/0.26 thf(func_def_9, type, sK2: (($i > $o) > $i)).
% 0.09/0.26 thf(func_def_10, type, vNOT: ($o > $o)).
% 0.09/0.26 thf(func_def_11, type, db0: !>[X0: $tType]:(X0)).
% 0.09/0.26 thf(func_def_12, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.09/0.26 thf(f1,conjecture,(
% 0.09/0.26 ? [X0 : ($i > $o)] : ! [X1 : $i,X2 : $i,X3 : $i] : ((((X0 @ X3) & (X0 @ X2)) | (X0 @ X1)) => (((cT @ X3) & (q @ X1)) | ((cR @ X2) & (p @ X1))))),
% 0.09/0.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBLEDSOE5F)).
% 0.09/0.26 thf(f2,negated_conjecture,(
% 0.09/0.26 ~ ? [X0 : ($i > $o)] : ! [X1 : $i,X2 : $i,X3 : $i] : ((((X0 @ X3) & (X0 @ X2)) | (X0 @ X1)) => (((cT @ X3) & (q @ X1)) | ((cR @ X2) & (p @ X1))))),
% 0.09/0.26 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.26 thf(f3,plain,(
% 0.09/0.26 ~ ? [X0 : ($i > $o)] : ! [X1 : $i,X2 : $i,X3 : $i] : ((((X0 @ X3) & (X0 @ X2)) | (X0 @ X1)) => (((cT @ X3) & (q @ X1)) | ((cR @ X2) & (p @ X1))))),
% 0.09/0.26 inference(rectify,[],[f2])).
% 0.09/0.26 thf(f4,plain,(
% 0.09/0.26 ~ ? [X0 : ($i > $o)] : ! [X1 : $i,X2 : $i,X3 : $i] : ((((((X0 @ X3)) = $true) & (((X0 @ X2)) = $true)) | (((X0 @ X1)) = $true)) => (((((cT @ X3)) = $true) & (((q @ X1)) = $true)) | ((((cR @ X2)) = $true) & (((p @ X1)) = $true))))),
% 0.09/0.26 inference(fool_elimination,[],[f3])).
% 0.09/0.26 thf(f5,plain,(
% 0.09/0.26 ! [X0 : ($i > $o)] : ? [X1 : $i,X2 : $i,X3 : $i] : ((((((cT @ X3)) != $true) | (((q @ X1)) != $true)) & ((((cR @ X2)) != $true) | (((p @ X1)) != $true))) & (((((X0 @ X3)) = $true) & (((X0 @ X2)) = $true)) | (((X0 @ X1)) = $true)))),
% 0.09/0.26 inference(ennf_transformation,[],[f4])).
% 0.09/0.26 thf(f6,plain,(
% 0.09/0.26 ! [X0 : ($i > $o)] : ? [X1 : $i,X2 : $i,X3 : $i] : (((((cT @ X3)) != $true) | (((q @ X1)) != $true)) & ((((cR @ X2)) != $true) | (((p @ X1)) != $true)) & (((((X0 @ X3)) = $true) & (((X0 @ X2)) = $true)) | (((X0 @ X1)) = $true)))),
% 0.09/0.26 inference(flattening,[],[f5])).
% 0.09/0.26 thf(f7,plain,(
% 0.09/0.26 ! [X0 : ($i > $o)] : ((($true != ((cT @ (sK2 @ X0)))) | ($true != ((q @ (sK0 @ X0))))) & (($true != ((cR @ (sK1 @ X0)))) | ($true != ((p @ (sK0 @ X0))))) & ((($true = ((X0 @ (sK2 @ X0)))) & ($true = ((X0 @ (sK1 @ X0))))) | ($true = ((X0 @ (sK0 @ X0))))))),
% 0.09/0.26 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,vAPP]),skolemize(X3,sK2 @ X0),skolemize(X3,sK2 @ X0),skolemize(X3,sK2 @ X0)],[f6])).
% 0.09/0.26 thf(f8,plain,(
% 0.09/0.26 ( ! [X0 : ($i > $o)] : (($true = ((X0 @ (sK1 @ X0)))) | ($true = ((X0 @ (sK0 @ X0))))) )),
% 0.09/0.26 inference(cnf_transformation,[],[f7])).
% 0.09/0.26 thf(f15,plain,(
% 0.09/0.26 ($true = (((^[Y0 : $i]: ($false)) @ (sK1 @ (^[Y0 : $i]: ($false)))))) | ($true = (((^[Y0 : $i]: ($false)) @ (sK0 @ (^[Y0 : $i]: ($false))))))),
% 0.09/0.26 inference(primitive_instantiation,[],[f8])).
% 0.09/0.26 thf(f27,plain,(
% 0.09/0.26 ($true = $false) | ($true = $false)),
% 0.09/0.26 inference(beta-eta_normalization,[],[f15])).
% 0.09/0.26 thf(f28,plain,(
% 0.09/0.26 ($true = $false)),
% 0.09/0.26 inference(duplicate_literal_removal,[],[f27])).
% 0.09/0.26 thf(f29,plain,(
% 0.09/0.26 $false),
% 0.09/0.26 inference(trivial_inequality_removal,[],[f28])).
% 0.09/0.26 % SZS output end Proof for theBenchmark
% 0.09/0.26 % (600297)------------------------------
% 0.09/0.26 % (600297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (600297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (600297)CaDiCaL version: 2.1.3
% 0.09/0.26 % (600297)Termination reason: Refutation
% 0.09/0.26 % (600297)Time elapsed: 0.001 s
% 0.09/0.26 % (600297)Peak memory usage: 12 MB
% 0.09/0.26 % (600297)Instructions burned: 1 (million)
% 0.09/0.26 % (600289)Success in time 0.016 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------